Question

Open sets in the infinite product of $\mathbb{N}^\infty$

score 505 · Answer 1 · 2020-01-21 15:19:15

505

Views

Open sets in the infinite product of $\mathbb{N}^\infty$

Published on 21 Jan 2020 - 15:19

score 62 · Answer 2 · 2020-01-27 07:22:09

62

Views

Topological name for $D^m \times \mathbb{R}^n$

Published on 27 Jan 2020 - 7:22

score 163 · Answer 3 · 2020-01-30 09:07:34

163

Views

Characterizing measurability in product spaces

Published on 30 Jan 2020 - 9:07

score 64 · Answer 4 · 2020-02-17 05:16:46

64

Views

Uniform Convergence on Standard Probability Space

Published on 17 Feb 2020 - 5:16

score 59 · Answer 5 · 2020-02-20 22:38:55

59

Views

$\coprod_{x\in X} (\{x\}\times Y)$ and $X\times Y$ are homeomorphic

Published on 20 Feb 2020 - 22:38

score 381 · Answer 6 · 2020-02-21 22:16:02

381

Views

Separability of $\mathbb R^{[0,1]}$ in the product topology

Published on 21 Feb 2020 - 22:16

score 62 · Answer 7 · 2020-02-22 21:28:44

62

Views

Prove that ${\prod_{i\in\mathbb{N}} X_i}$ and ${\prod_{i\in\mathbb{N}} Y_i}$ are homeomorphic.

Published on 22 Feb 2020 - 21:28

score 213 · Answer 8 · 2020-02-26 23:31:59

213

Views

Equivalence of Product Metric and $d_1$ Metric

Published on 26 Feb 2020 - 23:31

score 22 · Answer 9 · 2020-03-15 20:13:35

22

Views

product-topology on $\mathbb{R} \times X$

Published on 15 Mar 2020 - 20:13

score 136 · Answer 10 · 2020-03-20 14:34:13

Let $X$ and $Y$ are topological spaces with indiscrete topologies then prove that the product topology $X\times Y$ will be indiscrete space

score 188 · Answer 11 · 2020-03-26 15:10:00

188

Views

Projection of a closed set in $\mathbb{R}^2$ to one of the factors need not be closed.

Published on 26 Mar 2020 - 15:10

score 36 · Answer 12 · 2020-04-08 08:18:06

36

Views

Reference request on functions defined on Cartesian products

Published on 08 Apr 2020 - 8:18

score 279 · Answer 13 · 2020-04-08 19:27:09

279

Views

Proving the closed graph theorem in general topology

Published on 08 Apr 2020 - 19:27

score 59 · Answer 14 · 2020-04-12 02:28:25

59

Views

Closure of a solid triangle in $\mathbb{R}_{(-)} \times \mathbb{R}_{\textit{finite complement}}$

Published on 12 Apr 2020 - 2:28

score 578 · Answer 15 · 2026-02-23 04:59:34

578

Views

Proving $R_L \times R_L$ is completely regular. Meaning $R_L \times R_L$ is an example of a space which is completely regular, but not normal

Published on 23 Feb 2026 - 4:59

List Question

Open sets in the infinite product of $\mathbb{N}^\infty$

Topological name for $D^m \times \mathbb{R}^n$

Characterizing measurability in product spaces

Uniform Convergence on Standard Probability Space

$\coprod_{x\in X} (\{x\}\times Y)$ and $X\times Y$ are homeomorphic

Separability of $\mathbb R^{[0,1]}$ in the product topology

Prove that ${\prod_{i\in\mathbb{N}} X_i}$ and ${\prod_{i\in\mathbb{N}} Y_i}$ are homeomorphic.

Equivalence of Product Metric and $d_1$ Metric

product-topology on $\mathbb{R} \times X$

Let $X$ and $Y$ are topological spaces with indiscrete topologies then prove that the product topology $X\times Y$ will be indiscrete space

Projection of a closed set in $\mathbb{R}^2$ to one of the factors need not be closed.

Reference request on functions defined on Cartesian products

Proving the closed graph theorem in general topology

Closure of a solid triangle in $\mathbb{R}_{(-)} \times \mathbb{R}_{\textit{finite complement}}$

Proving $R_L \times R_L$ is completely regular. Meaning $R_L \times R_L$ is an example of a space which is completely regular, but not normal

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